Overview on the development of fuzzy random variables

被引：161

作者：

Angeles Gil, Maria ^{[1
]}

Lopez-Diaz, Miguel

Ralescu, Dan A.

机构：

[1] Univ Oviedo, Fac Ciencias, Dept Estadist IO&DM, E-33071 Oviedo, Spain

[2] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

来源：

FUZZY SETS AND SYSTEMS | 2006年 / 157卷 / 19期

关键词：

d(infinity)-metric; fuzzy arithmetic; fuzzy values; fuzzy random variables; Hausdorff metric; random sets (W; phi)-metric;

D O I：

10.1016/j.fss.2006.05.002

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper presents a backward analysis on the interpretation, modelling and impact of the concept of fuzzy random variable. After some preliminaries, the situations modelled by means of fuzzy random variables as well as the main approaches to model them are explained. We also summarize briefly some of the probabilistic studies concerning this concept as well as some statistical applications. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：2546 / 2557

页数：12

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